The non-linear random response of beams is investigated using a \(p\)-version finite element formulation in conjunction with the method of equivalent linearization. Root-mean-square maximum stresses and deflections are computed for beams with both ends simply supported or clamped, for the case of a
COMPARISON OF FINITE ELEMENT NON-LINEAR BEAM RANDOM RESPONSE WITH EXPERIMENTAL RESULTS
โ Scribed by R.R Chen; C Mei; HF Wolfe
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 579 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
โฆ Synopsis
A finite element formulation combined with the equivalent linearization technique and normal mode method is developed for the non-linear random response of beams subjected to acoustic and thermal loads applied simultaneously. To validate the present formulation and solution procedure, results are compared with the classical continuum solution and the Fokker-Planck-Kolmogorov equation solution. Comparison is also made with experimental data for a pre-stretched clamped beam. Random responses of thermally buckled simply supported beam, clamped beam and simply supported-clamped beam are presented. The comparison of the present simultaneously loaded response with the existing sequentially loaded results shows a significant difference between them.
๐ SIMILAR VOLUMES
The hierarchical "nite-element (HFEM) and the harmonic balance methods (HBM) are used to investigate the geometrically non-linear free and steady-state forced vibrations of uniform, slender beams. The beam analogue of von KaH rmaH n's non-linear strain}displacement relationships are employed and the
In this paper, a method is proposed for modelling large de#ection beam response involving multiple vibration modes. Signi"cant savings in computational time can be obtained compared with the direct integration non-linear "nite element method. The de#ections from a number of static non-linear "nite e